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53115403121718 = 23719149503888103
BaseRepresentation
bin11000001001110111001001…
…01111000011010000110110
320222001210010202202112120020
430010323210233003100312
523430220321144343333
6304544513534150010
714121314130136140
oct1404734457032066
9228053122675506
1053115403121718
1115a1913038a223
125b5a155052306
1323839b7c73b02
14d18b2911dc90
156219c09d13b3
hex304ee4bc3436

53115403121718 has 128 divisors (see below), whose sum is σ = 128910071808000. Its totient is φ = 14252204057472.

The previous prime is 53115403121579. The next prime is 53115403121719. The reversal of 53115403121718 is 81712130451135.

It is a super-3 number, since 3×531154031217183 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 53115403121718.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53115403121719) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59363655 + ... + 60251757.

It is an arithmetic number, because the mean of its divisors is an integer number (1007109936000).

Almost surely, 253115403121718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53115403121718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64455035904000).

53115403121718 is an abundant number, since it is smaller than the sum of its proper divisors (75794668686282).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53115403121718 is a wasteful number, since it uses less digits than its factorization.

53115403121718 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888786.

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 53115403121718 in words is "fifty-three trillion, one hundred fifteen billion, four hundred three million, one hundred twenty-one thousand, seven hundred eighteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 149 266 298 399 447 503 798 894 1006 1043 1509 2086 2831 3018 3129 3521 5662 6258 7042 8493 9557 10563 16986 19114 19817 21126 28671 39634 57342 59451 66899 74947 118902 133798 149894 200697 224841 401394 449682 524629 888103 1049258 1423993 1573887 1776206 2664309 2847986 3147774 4271979 5328618 6216721 8543958 9967951 12433442 16873957 18650163 19935902 29903853 33747914 37300326 50621871 59807706 101243742 118117699 132327347 236235398 264654694 354353097 396982041 446715809 708706194 793964082 893431618 926291429 1340147427 1852582858 2514219593 2680294854 2778874287 3127010663 5028439186 5557748574 6254021326 7542658779 8487600371 9381031989 15085317558 16975200742 17599537151 18762063978 25462801113 35199074302 50925602226 52798611453 59413202597 66560655541 105597222906 118826405194 133121311082 178239607791 199681966623 356479215582 399363933246 465924588787 931849177574 1264652455279 1397773766361 2529304910558 2795547532722 3793957365837 7587914731674 8852567186953 17705134373906 26557701560859 53115403121718